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Self-stabilizing Algorithm for Maximal Graph Partitioning into Triangles

  • Brahim Neggazi
  • Mohammed Haddad
  • Hamamache Kheddouci
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7596)

Abstract

The graph partitioning problem consists of dividing a graph into parts, patterns or partitions which satisfy some specifications. Graph partitioning problems are known to be NP-complete. In this paper, we focus on the particular pattern of triangles and present the first Self-stabilizing algorithm for Maximal Partitioning of arbitrary graphs into Triangles (MPT). Then, we give the correctness and convergence proofs of the proposed algorithm.

Keywords

Graph partitioning Independent triangles Self-stabilization 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Brahim Neggazi
    • 1
  • Mohammed Haddad
    • 1
  • Hamamache Kheddouci
    • 1
  1. 1.GAMA Lab.University of Lyon, Claude Bernard Lyon 1 UniversityVilleurbanneFrance

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